Citation

Chraibi M, Ezaki T, Tordeux A, Nishinari K, Schadschneider A, Seyfried A. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2015; 92(4-1): 042809.

Affiliation

Jülich Supercomputing Centre, Forschungszentrum Jülich, 52425 Jülich, Germany.

Copyright

(Copyright © 2015, American Physical Society, Publisher American Institute of Physics)

DOI

10.1103/PhysRevE.92.042809

PMID

26565291

Abstract

Force-based models describe pedestrian dynamics in analogy to classical mechanics by a system of second order ordinary differential equations. By investigating the linear stability of two main classes of forces, parameter regions with unstable homogeneous states are identified. In this unstable regime it is then checked whether phase transitions or stop-and-go waves occur.

RESULTS based on numerical simulations show, however, that the investigated models lead to unrealistic behavior in the form of backwards moving pedestrians and overlapping. This is one reason why stop-and-go waves have not been observed in these models. The unrealistic behavior is not related to the numerical treatment of the dynamic equations but rather indicates an intrinsic problem of this model class. Identifying the underlying generic problems gives indications how to define models that do not show such unrealistic behavior. As an example we introduce a force-based model which produces realistic jam dynamics without the appearance of unrealistic negative speeds for empirical desired walking speeds.

Language: en